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Finding the Fourth Proportional to 18,101.17, 24,978.91 and 10,143

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Solution

The fourth proportional to 18,101.17, 24,978.91 and 10,143 is: 13,996.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,101.17 : 24,978.91 = 10,143 : x
  2. Step 2: Convert to fraction form
    18,101.17/24,978.91 = 10,143/x
  3. Step 3: Cross multiply
    18,101.17x = 24,978.91 × 10,143
  4. Step 4: Simplify right side
    18,101.17x = 253,361,084.13
  5. Step 5: Solve for x
    x = 253,361,084.13/18,101.17
  6. Step 6: Final answer
    x = 13,996.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.